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3D Geometry question

2013 · Shift 1 · Q39

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2013 · Shift 1 · Q39

3D Geometry question

2013 · Shift 1 · Q39

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −1

A line

l

passing through the origin is perpendicular to the lines

\,{l_1}:\left( {3 + t} \right)\widehat i + \left( { - 1 + 2t} \right)\widehat j + \left( {4 + 2t} \right)\widehat k,\,\,\,\,\, - \infty \lt t \lt \infty {l_2}:\left( {3 + 2s} \right)\widehat i + \left( {3 + 2s} \right)\widehat j + \left( {2 + s} \right)\widehat k,\,\,\,\,\, - \infty \lt s \lt \infty

Then, the coordinate(s) of the points(s) on

{l_2}

at a distance of

\sqrt {17}

from the point of intersection of

l

and

{l_1}

is (are)

A
$\left( {{7 \over 3},{7 \over 3},{5 \over 3}} \right)$
B
$\left( { - 1, - 1,0} \right)$
C
$\left( {1,1,1} \right)$
D
$\left( {{7 \over 9},{7 \over 9},{8 \over 9}} \right)$

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